反例在大学数学教学中的作用

The Role of Counterexample in College Mathematics Teaching

数学类课程在普通高校的人才培养过程中起着非常重要的作用,是理工科专业人才培养的重要基础,对培养学生的逻辑思维能力和应用知识的能力有着关键作用.详细阐述了反例在大学数学课程中的作用,并给出了一些在教学中如何利用反例提高教学效果的建议,对广大高校数学教师和本科生都有借鉴意义.

Mathematics course plays a very important role in the training of talents in colleges and universities. It is an important foundation for the training of science and engineering professionals. It plays a key role in cultivating students＇ logical thinking ability and applying knowledge ability. On the basis of the author＇s experience in mathematics teaching for many years, this paper elaborates the important role of counterexamples in college mathematics curriculum, and gives some suggestions on how to use counterexamples to improve the teaching effect in teaching. It is of great significance to the mathematics teachers and undergraduates of colleges and universities.